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A Course on Function Spaces I
- Continuous and Integrable Functions
Engelsk
Bogcover for A Course on Function Spaces I af Dominic Breit, Franz Gmeineder, 9783030806422
Specifikationer
Sprog:
Engelsk
ISBN-13:
9783030806422
Indbinding:
Paperback
ISBN-10:
3030806421
Udg. Dato:
13 mar 2026
Størrelse i cm:
23,5 x 15,5
Serie:
Oplagsdato:
13 mar 2026

A Course on Function Spaces I

- Continuous and Integrable Functions
Engelsk
Paperback 2026
Format:

Bog beskrivelse

This textbook is the first of a two-part set providing a thorough-yet-accessible introduction to the subject of function spaces. In this first volume, the core topics of spaces of continuous and integrable functions are covered in detail.

Starting from the familiar notions of continuous and smooth functions, the volume gradually progresses to advanced aspects of Lebesgue spaces and their relatives. Key aspects such as basic functional analytic properties, weak convergences and compactness are covered in detail, concluding with an introduction to the fundamentals of real and harmonic analysis. Throughout, the authors provide helpful motivation for the underlying concepts, which they illustrate with selected applications, demonstrating the relevance and practical use of function spaces.

Designed with the student in mind, this self-contained volume offers multiple syllabi, guiding readers from elementary properties to advanced topics. Visual learners will appreciate the inclusion of figures summarising key outcomes, proof strategies, and ''metaprinciples''. Assuming only multivariable calculus and elementary functional analysis, as conveniently summarised in the first chapters, this volume is designed for lecture courses at the graduate level and will also be a valuable companion for young researchers in analysis.

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Udkommer 13-03-2026

Specifikationer
Sprog:
Engelsk
ISBN-13:
9783030806422
Indbinding:
Paperback
ISBN-10:
3030806421
Udg. Dato:
13 mar 2026
Størrelse i cm:
23,5 x 15,5
Serie:
Oplagsdato:
13 mar 2026
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